NONLINEAR BENDING OF CORRUGATED DIAPHRAGM WITH LARGE BOUNDARY CORRUGATION UNDER COMPOUND LOAD

• Published in: Applied mathematics and mechanics 2003-04, Vol.24 (4), p.414-420
• Main Author: 袁鸿 刘人怀
• Format: Article
• Language: English
• Subjects: Green函数; 不可分刚性体; 复合负荷; 大边界波纹; 插值参数; 旋转轴对称壳; 波纹振动膜; 特征曲线; 简化Reissner方程; 非线性弯曲; 非线性积分方程
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/bf02439620

By using the simplified Reissner's equation of axisymmetric shells of revolution,the nonlinear bending of a corrugated annular plate with a large boundary corrugation and a nondeformable rigid body at the certer under compound load are investigated.The nonlinear boundary value problem of the corrugated diaphragm reduces to the nonlinear integral equations by applying the method of Green''s function.To solve the integral equations,a so-called interpolated parameter important toprevent divergence in introduced into the iterative format.Computation shows that when loads aresmall,anyvalue of interpolated parameter can assure the convergence of iteration,Interpolated parameter equal or almost equal to 1 yields a faster convergence rate;when loads are large,interpolated parameter cannot betaken too large in order to assure convergence,The characteristic curves of the corrugated diaphragm fordifferent load combinations are given.The obtained characteristic curves are available for reference to design.It can be concluded that the deflection is larger when the diaphragm is acted by both uniform load and concentrated load thanwhen it is acted only by uniform load.The solution method can be applied to corrugated shells of arbitrary diametral sections.